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Simplifying -84 = 4(1 + -1b) + 8 -84 = (1 * 4 + -1b * 4) + 8 -84 = (4 + -4b) + 8 Reorder the terms: -84 = 4 + 8 + -4b Combine like terms: 4 + 8 = 12 -84 = 12 + -4b Solving -84 = 12 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -84 + 4b = 12 + -4b + 4b Combine like terms: -4b + 4b = 0 -84 + 4b = 12 + 0 -84 + 4b = 12 Add '84' to each side of the equation. -84 + 84 + 4b = 12 + 84 Combine like terms: -84 + 84 = 0 0 + 4b = 12 + 84 4b = 12 + 84 Combine like terms: 12 + 84 = 96 4b = 96 Divide each side by '4'. b = 24 Simplifying b = 24
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